Find the LCM of 363, 865, 484, 230, 736 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 363, 865, 484, 230, 736. So, keep reading to learn more.
Given numbers are 363,865,484,230,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,865,484,230,736 is 231100320.
Find LCM of 363,865,484,230,736 with Prime Factorization
2 | 363, 865, 484, 230, 736 |
2 | 363, 865, 242, 115, 368 |
5 | 363, 865, 121, 115, 184 |
11 | 363, 173, 121, 23, 184 |
11 | 33, 173, 11, 23, 184 |
23 | 3, 173, 1, 23, 184 |
3, 173, 1, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 11 x 23 x 3 x 173 x 1 x 1 x 8 = 231100320
Therefore, the lowest common multiple of 363,865,484,230,736 is 231100320.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
363 x 865 x 484 x 230 x 736 = 25726087622400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
363 : 1, 3, 11, 33, 121, 363
865 : 1, 5, 173, 865
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
230 : 1, 2, 5, 10, 23, 46, 115, 230
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,865,484,230,736, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
865:5x 173
484:2x 2x 11x 11
230:2x 5x 23
736:2x 2x 2x 2x 2x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5x 11x 11x 23 = 111320
Therefore, the value for common factors is 111320.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 25726087622400/(1x111320)
LCM = 25726087622400/111320
LCM = 231100320
Thus, we can understand that the LCM of 363,865,484,230,736 is 231100320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 363, 865, 484, 230, 736?
Answer: LCM of 363, 865, 484, 230, 736 is 231100320.
2. How to calculate the LCM of 363, 865, 484, 230, 736?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 363, 865, 484, 230, 736.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.